Hi

Standard Form of an Equation of an Hyperbola opening right and  left is:

   with C(h,k) and vertices 'a' units right and left of center, 

Foci are   =  c- units right and left of center along y = k

& Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a 

(x-2)^2/36 -(y-3)^2/25 =1  Opening right and Left along y = 3

center:  (2,3)

foci: c = sqrt(36+25) = sqrt(61), F(2+√61,3)  and   F(2-√61, 3)

asymptotes: m =  ± b/a = ± 5/6

y - 3 = 5/6(x-2), y = (5/6)x + 4/3

y - 3 = -5/6(x-2), y = (-5/6)x + 14/3





 

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